GATE EE area:engineering-mathematics PYQs & Answers — Page 5

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Questions 41–50 of 97. Imported answers require independent review unless marked reviewed.

Topic practice 97 questionsPage 5 of 10

Let

. Then

decreases in the interval

Your answerChoose one option.

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Consider a matrix

. The matrix

satisfies the equation

, where

and

are scalars and

is the identity matrix. Then

is equal to

Your answerChoose one option.

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Let

. The direction in which the function

increases most rapidly at point

Your answerChoose one option.

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Let

be a region in the first quadrant of the

plane enclosed by a closed curve

considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region

Diagram for Electrical Engineering question 51

Your answerChoose one option.

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Let

. The value of

, where

is the volume enclosed by the unit cube defined by

, is

Your answerChoose one option.

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Let the probability density function of a random variable

be given as

The value of ‘a’ is ________.

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Let

be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of

for

. The mean of

is ____

Your answerChoose one option.

2.5

5.0

25.0

50.0

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Let

and

be real numbers such that

. The eigenvalues of the matrix

are

Your answerChoose one option.

1 and 1

1 and -1

j and -j

pq and -pq

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Let

, where

is a complex number. Which one of the following is true?

Your answerChoose one option.

for all

The sum of the roots of

is a real number

The complex roots of the equation

come in conjugate pairs

All the roots cannot be real

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Let

be a real-valued function such that

for some

, and

for all

. Then

has

Your answerChoose one option.

no local minimum in

one local maximum in

exactly one local minimum in

two distinct local minima in

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GATE EE area:engineering-mathematics PYQs

Question 41

Question 42

Question 50

Question 51

Question 52

Question 54

Question 8

Question 1

Question 2

Question 3